The transition to what may be termed a quantum form of dynamics amounts to an appropriate choice of the functional \(F_{x}[\rho ;g_{ij}]\)  (see e.g., [1]}[2]}[3]}). In particular, for \(F_{x}[\rho ;g_{ij}]\)  we choose exactly the local quantum potential introduced as part of (REF ). A convenient choice for the coupling constant is \(\lambda = 1/8\) .As argued, for instance, in [4]}, there is no loss of generality in making this choice. For the case of nonrelativistic particles it can be proved [5]} that an ED that preserves the appropriate symplectic and metric structures implies the presence of a quantum potential with the correct coefficient. (This choice of \(\lambda \)  makes plain that we work with a system of units where \(\hbar = c = 1\) .)
